Finding the Fourth Proportional to 1,410.32, 1,946.32 and 780.84

Step by Step Solution

1. Step 1: Write the proportion equation
   1,410.32 : 1,946.32 = 780.84 : x
2. Step 2: Convert to fraction form
   1,410.32/1,946.32 = 780.84/x
3. Step 3: Cross multiply
   1,410.32x = 1,946.32 × 780.84
4. Step 4: Simplify right side
   1,410.32x = 1,519,764.51
5. Step 5: Solve for x
   x = 1,519,764.51/1,410.32
6. Step 6: Final answer
   x = 1,077.60